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Finding the Fourth Proportional to 5,390.30, 7,442.30 and 4,129.13

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Solution

The fourth proportional to 5,390.30, 7,442.30 and 4,129.13 is: 5,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.30 : 7,442.30 = 4,129.13 : x
  2. Step 2: Convert to fraction form
    5,390.30/7,442.30 = 4,129.13/x
  3. Step 3: Cross multiply
    5,390.30x = 7,442.30 × 4,129.13
  4. Step 4: Simplify right side
    5,390.30x = 30,730,166.34
  5. Step 5: Solve for x
    x = 30,730,166.34/5,390.30
  6. Step 6: Final answer
    x = 5,701.02

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