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Finding the Fourth Proportional to 3,312.37, 4,970.64 and 1,852.48

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Solution

The fourth proportional to 3,312.37, 4,970.64 and 1,852.48 is: 2,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.37 : 4,970.64 = 1,852.48 : x
  2. Step 2: Convert to fraction form
    3,312.37/4,970.64 = 1,852.48/x
  3. Step 3: Cross multiply
    3,312.37x = 4,970.64 × 1,852.48
  4. Step 4: Simplify right side
    3,312.37x = 9,208,011.19
  5. Step 5: Solve for x
    x = 9,208,011.19/3,312.37
  6. Step 6: Final answer
    x = 2,779.89

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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.