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Finding the Fourth Proportional to 4,691.94, 7,036.80 and 1,572.06

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Solution

The fourth proportional to 4,691.94, 7,036.80 and 1,572.06 is: 2,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.94 : 7,036.80 = 1,572.06 : x
  2. Step 2: Convert to fraction form
    4,691.94/7,036.80 = 1,572.06/x
  3. Step 3: Cross multiply
    4,691.94x = 7,036.80 × 1,572.06
  4. Step 4: Simplify right side
    4,691.94x = 11,062,271.81
  5. Step 5: Solve for x
    x = 11,062,271.81/4,691.94
  6. Step 6: Final answer
    x = 2,357.72

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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.