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Finding the Fourth Proportional to 4,594.65, 6,344.19 and 3,530.74

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Solution

The fourth proportional to 4,594.65, 6,344.19 and 3,530.74 is: 4,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.65 : 6,344.19 = 3,530.74 : x
  2. Step 2: Convert to fraction form
    4,594.65/6,344.19 = 3,530.74/x
  3. Step 3: Cross multiply
    4,594.65x = 6,344.19 × 3,530.74
  4. Step 4: Simplify right side
    4,594.65x = 22,399,636.03
  5. Step 5: Solve for x
    x = 22,399,636.03/4,594.65
  6. Step 6: Final answer
    x = 4,875.16

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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.