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Finding the Fourth Proportional to 4,700, 7,013.52 and 4,077.92

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Solution

The fourth proportional to 4,700, 7,013.52 and 4,077.92 is: 6,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 7,013.52 = 4,077.92 : x
  2. Step 2: Convert to fraction form
    4,700/7,013.52 = 4,077.92/x
  3. Step 3: Cross multiply
    4,700x = 7,013.52 × 4,077.92
  4. Step 4: Simplify right side
    4,700x = 28,600,573.48
  5. Step 5: Solve for x
    x = 28,600,573.48/4,700
  6. Step 6: Final answer
    x = 6,085.23

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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.