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Finding the Fourth Proportional to 4,693.59, 6,442.65 and 4,150.58

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Solution

The fourth proportional to 4,693.59, 6,442.65 and 4,150.58 is: 5,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.59 : 6,442.65 = 4,150.58 : x
  2. Step 2: Convert to fraction form
    4,693.59/6,442.65 = 4,150.58/x
  3. Step 3: Cross multiply
    4,693.59x = 6,442.65 × 4,150.58
  4. Step 4: Simplify right side
    4,693.59x = 26,740,686.46
  5. Step 5: Solve for x
    x = 26,740,686.46/4,693.59
  6. Step 6: Final answer
    x = 5,697.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.