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Finding the Fourth Proportional to 4,230.76, 5,842.02 and 4,013.32

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Solution

The fourth proportional to 4,230.76, 5,842.02 and 4,013.32 is: 5,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.76 : 5,842.02 = 4,013.32 : x
  2. Step 2: Convert to fraction form
    4,230.76/5,842.02 = 4,013.32/x
  3. Step 3: Cross multiply
    4,230.76x = 5,842.02 × 4,013.32
  4. Step 4: Simplify right side
    4,230.76x = 23,445,895.71
  5. Step 5: Solve for x
    x = 23,445,895.71/4,230.76
  6. Step 6: Final answer
    x = 5,541.77

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.