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Finding the Fourth Proportional to 4,223.53, 6,330.92 and 1,590.52

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Solution

The fourth proportional to 4,223.53, 6,330.92 and 1,590.52 is: 2,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.53 : 6,330.92 = 1,590.52 : x
  2. Step 2: Convert to fraction form
    4,223.53/6,330.92 = 1,590.52/x
  3. Step 3: Cross multiply
    4,223.53x = 6,330.92 × 1,590.52
  4. Step 4: Simplify right side
    4,223.53x = 10,069,431.10
  5. Step 5: Solve for x
    x = 10,069,431.10/4,223.53
  6. Step 6: Final answer
    x = 2,384.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.