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Finding the Fourth Proportional to 4,681.96, 7,017.50 and 1,758.40

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Solution

The fourth proportional to 4,681.96, 7,017.50 and 1,758.40 is: 2,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.96 : 7,017.50 = 1,758.40 : x
  2. Step 2: Convert to fraction form
    4,681.96/7,017.50 = 1,758.40/x
  3. Step 3: Cross multiply
    4,681.96x = 7,017.50 × 1,758.40
  4. Step 4: Simplify right side
    4,681.96x = 12,339,572
  5. Step 5: Solve for x
    x = 12,339,572/4,681.96
  6. Step 6: Final answer
    x = 2,635.56

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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.