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Finding the Fourth Proportional to 6,587.16, 9,090.24 and 3,603

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Solution

The fourth proportional to 6,587.16, 9,090.24 and 3,603 is: 4,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.16 : 9,090.24 = 3,603 : x
  2. Step 2: Convert to fraction form
    6,587.16/9,090.24 = 3,603/x
  3. Step 3: Cross multiply
    6,587.16x = 9,090.24 × 3,603
  4. Step 4: Simplify right side
    6,587.16x = 32,752,134.72
  5. Step 5: Solve for x
    x = 32,752,134.72/6,587.16
  6. Step 6: Final answer
    x = 4,972.12

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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.