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Finding the Fourth Proportional to 5,774.18, 7,966.48 and 3,533.72

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Solution

The fourth proportional to 5,774.18, 7,966.48 and 3,533.72 is: 4,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.18 : 7,966.48 = 3,533.72 : x
  2. Step 2: Convert to fraction form
    5,774.18/7,966.48 = 3,533.72/x
  3. Step 3: Cross multiply
    5,774.18x = 7,966.48 × 3,533.72
  4. Step 4: Simplify right side
    5,774.18x = 28,151,309.71
  5. Step 5: Solve for x
    x = 28,151,309.71/5,774.18
  6. Step 6: Final answer
    x = 4,875.38

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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.