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Finding the Fourth Proportional to 2,952.36, 4,434.74 and 2,854.04

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Solution

The fourth proportional to 2,952.36, 4,434.74 and 2,854.04 is: 4,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.36 : 4,434.74 = 2,854.04 : x
  2. Step 2: Convert to fraction form
    2,952.36/4,434.74 = 2,854.04/x
  3. Step 3: Cross multiply
    2,952.36x = 4,434.74 × 2,854.04
  4. Step 4: Simplify right side
    2,952.36x = 12,656,925.35
  5. Step 5: Solve for x
    x = 12,656,925.35/2,952.36
  6. Step 6: Final answer
    x = 4,287.05

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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.