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Finding the Fourth Proportional to 4,678.53, 7,011.59 and 2,482.53

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Solution

The fourth proportional to 4,678.53, 7,011.59 and 2,482.53 is: 3,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.53 : 7,011.59 = 2,482.53 : x
  2. Step 2: Convert to fraction form
    4,678.53/7,011.59 = 2,482.53/x
  3. Step 3: Cross multiply
    4,678.53x = 7,011.59 × 2,482.53
  4. Step 4: Simplify right side
    4,678.53x = 17,406,470.11
  5. Step 5: Solve for x
    x = 17,406,470.11/4,678.53
  6. Step 6: Final answer
    x = 3,720.50

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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.