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Finding the Fourth Proportional to 6,585.34, 9,088.06 and 3,752.98

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Solution

The fourth proportional to 6,585.34, 9,088.06 and 3,752.98 is: 5,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.34 : 9,088.06 = 3,752.98 : x
  2. Step 2: Convert to fraction form
    6,585.34/9,088.06 = 3,752.98/x
  3. Step 3: Cross multiply
    6,585.34x = 9,088.06 × 3,752.98
  4. Step 4: Simplify right side
    6,585.34x = 34,107,307.42
  5. Step 5: Solve for x
    x = 34,107,307.42/6,585.34
  6. Step 6: Final answer
    x = 5,179.28

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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.