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Finding the Fourth Proportional to 4,686.08, 6,466.24 and 2,590.08

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Solution

The fourth proportional to 4,686.08, 6,466.24 and 2,590.08 is: 3,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.08 : 6,466.24 = 2,590.08 : x
  2. Step 2: Convert to fraction form
    4,686.08/6,466.24 = 2,590.08/x
  3. Step 3: Cross multiply
    4,686.08x = 6,466.24 × 2,590.08
  4. Step 4: Simplify right side
    4,686.08x = 16,748,078.90
  5. Step 5: Solve for x
    x = 16,748,078.90/4,686.08
  6. Step 6: Final answer
    x = 3,574.01

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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.