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Finding the Fourth Proportional to 3,290.47, 4,931.04 and 2,899.64

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Solution

The fourth proportional to 3,290.47, 4,931.04 and 2,899.64 is: 4,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.47 : 4,931.04 = 2,899.64 : x
  2. Step 2: Convert to fraction form
    3,290.47/4,931.04 = 2,899.64/x
  3. Step 3: Cross multiply
    3,290.47x = 4,931.04 × 2,899.64
  4. Step 4: Simplify right side
    3,290.47x = 14,298,240.83
  5. Step 5: Solve for x
    x = 14,298,240.83/3,290.47
  6. Step 6: Final answer
    x = 4,345.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.