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Finding the Fourth Proportional to 6,586.14, 9,088.32 and 3,602

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Solution

The fourth proportional to 6,586.14, 9,088.32 and 3,602 is: 4,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.14 : 9,088.32 = 3,602 : x
  2. Step 2: Convert to fraction form
    6,586.14/9,088.32 = 3,602/x
  3. Step 3: Cross multiply
    6,586.14x = 9,088.32 × 3,602
  4. Step 4: Simplify right side
    6,586.14x = 32,736,128.64
  5. Step 5: Solve for x
    x = 32,736,128.64/6,586.14
  6. Step 6: Final answer
    x = 4,970.46

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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.