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Finding the Fourth Proportional to 4,590.30, 6,443.70 and 4,590.30

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Solution

The fourth proportional to 4,590.30, 6,443.70 and 4,590.30 is: 6,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.30 : 6,443.70 = 4,590.30 : x
  2. Step 2: Convert to fraction form
    4,590.30/6,443.70 = 4,590.30/x
  3. Step 3: Cross multiply
    4,590.30x = 6,443.70 × 4,590.30
  4. Step 4: Simplify right side
    4,590.30x = 29,578,516.11
  5. Step 5: Solve for x
    x = 29,578,516.11/4,590.30
  6. Step 6: Final answer
    x = 6,443.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.