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Finding the Fourth Proportional to 4,652.64, 7,012.44 and 4,455

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Solution

The fourth proportional to 4,652.64, 7,012.44 and 4,455 is: 6,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.64 : 7,012.44 = 4,455 : x
  2. Step 2: Convert to fraction form
    4,652.64/7,012.44 = 4,455/x
  3. Step 3: Cross multiply
    4,652.64x = 7,012.44 × 4,455
  4. Step 4: Simplify right side
    4,652.64x = 31,240,420.20
  5. Step 5: Solve for x
    x = 31,240,420.20/4,652.64
  6. Step 6: Final answer
    x = 6,714.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.