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Finding the Fourth Proportional to 4,730.48, 7,095.48 and 1,443.50

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Solution

The fourth proportional to 4,730.48, 7,095.48 and 1,443.50 is: 2,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.48 : 7,095.48 = 1,443.50 : x
  2. Step 2: Convert to fraction form
    4,730.48/7,095.48 = 1,443.50/x
  3. Step 3: Cross multiply
    4,730.48x = 7,095.48 × 1,443.50
  4. Step 4: Simplify right side
    4,730.48x = 10,242,325.38
  5. Step 5: Solve for x
    x = 10,242,325.38/4,730.48
  6. Step 6: Final answer
    x = 2,165.18

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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.