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Finding the Fourth Proportional to 3,506.60, 5,256.19 and 1,530.50

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Solution

The fourth proportional to 3,506.60, 5,256.19 and 1,530.50 is: 2,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.60 : 5,256.19 = 1,530.50 : x
  2. Step 2: Convert to fraction form
    3,506.60/5,256.19 = 1,530.50/x
  3. Step 3: Cross multiply
    3,506.60x = 5,256.19 × 1,530.50
  4. Step 4: Simplify right side
    3,506.60x = 8,044,574.43
  5. Step 5: Solve for x
    x = 8,044,574.43/3,506.60
  6. Step 6: Final answer
    x = 2,294.12

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Why These Related Problems?

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