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Finding the Fourth Proportional to 3,875.34, 5,347.80 and 2,303.58

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Solution

The fourth proportional to 3,875.34, 5,347.80 and 2,303.58 is: 3,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.34 : 5,347.80 = 2,303.58 : x
  2. Step 2: Convert to fraction form
    3,875.34/5,347.80 = 2,303.58/x
  3. Step 3: Cross multiply
    3,875.34x = 5,347.80 × 2,303.58
  4. Step 4: Simplify right side
    3,875.34x = 12,319,085.12
  5. Step 5: Solve for x
    x = 12,319,085.12/3,875.34
  6. Step 6: Final answer
    x = 3,178.84

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