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Finding the Fourth Proportional to 3,130.34, 4,658.67 and 3,013.70

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Solution

The fourth proportional to 3,130.34, 4,658.67 and 3,013.70 is: 4,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.34 : 4,658.67 = 3,013.70 : x
  2. Step 2: Convert to fraction form
    3,130.34/4,658.67 = 3,013.70/x
  3. Step 3: Cross multiply
    3,130.34x = 4,658.67 × 3,013.70
  4. Step 4: Simplify right side
    3,130.34x = 14,039,810.49
  5. Step 5: Solve for x
    x = 14,039,810.49/3,130.34
  6. Step 6: Final answer
    x = 4,485.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.