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Finding the Fourth Proportional to 4,346, 6,002.43 and 2,946.32

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Solution

The fourth proportional to 4,346, 6,002.43 and 2,946.32 is: 4,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346 : 6,002.43 = 2,946.32 : x
  2. Step 2: Convert to fraction form
    4,346/6,002.43 = 2,946.32/x
  3. Step 3: Cross multiply
    4,346x = 6,002.43 × 2,946.32
  4. Step 4: Simplify right side
    4,346x = 17,685,079.56
  5. Step 5: Solve for x
    x = 17,685,079.56/4,346
  6. Step 6: Final answer
    x = 4,069.28

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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.