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Finding the Fourth Proportional to 4,743.32, 6,547.16 and 2,754.77

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Solution

The fourth proportional to 4,743.32, 6,547.16 and 2,754.77 is: 3,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.32 : 6,547.16 = 2,754.77 : x
  2. Step 2: Convert to fraction form
    4,743.32/6,547.16 = 2,754.77/x
  3. Step 3: Cross multiply
    4,743.32x = 6,547.16 × 2,754.77
  4. Step 4: Simplify right side
    4,743.32x = 18,035,894.10
  5. Step 5: Solve for x
    x = 18,035,894.10/4,743.32
  6. Step 6: Final answer
    x = 3,802.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.