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Finding the Fourth Proportional to 4,564.95, 6,848.06 and 1,642.60

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Solution

The fourth proportional to 4,564.95, 6,848.06 and 1,642.60 is: 2,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.95 : 6,848.06 = 1,642.60 : x
  2. Step 2: Convert to fraction form
    4,564.95/6,848.06 = 1,642.60/x
  3. Step 3: Cross multiply
    4,564.95x = 6,848.06 × 1,642.60
  4. Step 4: Simplify right side
    4,564.95x = 11,248,623.36
  5. Step 5: Solve for x
    x = 11,248,623.36/4,564.95
  6. Step 6: Final answer
    x = 2,464.13

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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.