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Finding the Fourth Proportional to 4,685.92, 6,466.53 and 2,590.03

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Solution

The fourth proportional to 4,685.92, 6,466.53 and 2,590.03 is: 3,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.92 : 6,466.53 = 2,590.03 : x
  2. Step 2: Convert to fraction form
    4,685.92/6,466.53 = 2,590.03/x
  3. Step 3: Cross multiply
    4,685.92x = 6,466.53 × 2,590.03
  4. Step 4: Simplify right side
    4,685.92x = 16,748,506.70
  5. Step 5: Solve for x
    x = 16,748,506.70/4,685.92
  6. Step 6: Final answer
    x = 3,574.22

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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.