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Finding the Fourth Proportional to 5,300.74, 7,307.94 and 4,562.62

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Solution

The fourth proportional to 5,300.74, 7,307.94 and 4,562.62 is: 6,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.74 : 7,307.94 = 4,562.62 : x
  2. Step 2: Convert to fraction form
    5,300.74/7,307.94 = 4,562.62/x
  3. Step 3: Cross multiply
    5,300.74x = 7,307.94 × 4,562.62
  4. Step 4: Simplify right side
    5,300.74x = 33,343,353.20
  5. Step 5: Solve for x
    x = 33,343,353.20/5,300.74
  6. Step 6: Final answer
    x = 6,290.32

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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.