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Finding the Fourth Proportional to 3,506.16, 5,259.84 and 1,558.40

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Solution

The fourth proportional to 3,506.16, 5,259.84 and 1,558.40 is: 2,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.16 : 5,259.84 = 1,558.40 : x
  2. Step 2: Convert to fraction form
    3,506.16/5,259.84 = 1,558.40/x
  3. Step 3: Cross multiply
    3,506.16x = 5,259.84 × 1,558.40
  4. Step 4: Simplify right side
    3,506.16x = 8,196,934.66
  5. Step 5: Solve for x
    x = 8,196,934.66/3,506.16
  6. Step 6: Final answer
    x = 2,337.87

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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.