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Finding the Fourth Proportional to 3,036.74, 4,555.56 and 956.52

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Solution

The fourth proportional to 3,036.74, 4,555.56 and 956.52 is: 1,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.74 : 4,555.56 = 956.52 : x
  2. Step 2: Convert to fraction form
    3,036.74/4,555.56 = 956.52/x
  3. Step 3: Cross multiply
    3,036.74x = 4,555.56 × 956.52
  4. Step 4: Simplify right side
    3,036.74x = 4,357,482.46
  5. Step 5: Solve for x
    x = 4,357,482.46/3,036.74
  6. Step 6: Final answer
    x = 1,434.92

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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.