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Finding the Fourth Proportional to 4,646.39, 6,970.94 and 1,871.63

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Solution

The fourth proportional to 4,646.39, 6,970.94 and 1,871.63 is: 2,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.39 : 6,970.94 = 1,871.63 : x
  2. Step 2: Convert to fraction form
    4,646.39/6,970.94 = 1,871.63/x
  3. Step 3: Cross multiply
    4,646.39x = 6,970.94 × 1,871.63
  4. Step 4: Simplify right side
    4,646.39x = 13,047,016.40
  5. Step 5: Solve for x
    x = 13,047,016.40/4,646.39
  6. Step 6: Final answer
    x = 2,807.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.